Modular Construction of Topological Interlocking Blocks—An Algebraic Approach for Resource-Efficient Carbon-Reinforced Concrete Structures

Buildings, vol. 13, pp. 2565

Abstract

An algebraic approach to the design of resource-efficient carbon-reinforced concrete structures is presented. Interdisciplinary research in the fields of mathematics and algebra on the one hand and civil engineering and concrete structures on the other can lead to fruitful interactions and can contribute to the development of resource-efficient and sustainable concrete structures. Textile-reinforced concrete (TRC) using non-crimp fabric carbon reinforcement enables very thin and lightweight constructions and thus requires new construction strategies and new manufacturing methods. Algebraic methods applied to topological interlocking contribute to modular, reusable, and hence resource-efficient TRC structures. A modular approach to construct new interlocking blocks by combining different Platonic and Archimedean solids is presented. In particular, the design of blocks that can be decomposed into various n-prisms is the focus of this paper. It is demonstrated that the resulting blocks are highly versatile and offer numerous possibilities for the creation of interlocking assemblies, and a rigorous proof of the interlocking property is outlined.

Authors 6

1. Sascha Stüttgen corresponding Aachen Chair of Algebra and Number Theory

   RWTH Aachen University

   Affiliation as printed

   Chair of Algebra and Number Theory, RWTH Aachen University, 52062 Aachen, Germany

2. Reymond Akpanya Aachen Chair of Algebra and Representation Theory

   RWTH Aachen University

   Affiliation as printed

   Chair of Algebra and Representation Theory, RWTH Aachen University, 52062 Aachen, Germany

3. Birgit Beckmann

   Technische Universität Dresden

   Affiliation as printed

   Institute of Concrete Structures, Technische Universität Dresden, 01069 Dresden, Germany

4. Rostislav Chudoba Aachen Institue of Structural Concrete

   RWTH Aachen University

   Affiliation as printed

   Institue of Structural Concrete, RWTH Aachen University, 52062 Aachen, Germany

5. Daniel Robertz Aachen Chair of Algebra and Number Theory

   RWTH Aachen University

   Affiliation as printed

   Chair of Algebra and Number Theory, RWTH Aachen University, 52062 Aachen, Germany

6. Alice C. Niemeyer Aachen Chair of Algebra and Representation Theory

   RWTH Aachen University

   Affiliation as printed

   Chair of Algebra and Representation Theory, RWTH Aachen University, 52062 Aachen, Germany